#NonlinearDynamics
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odesolver.bsky.social
𝐂𝐮𝐛𝐢𝐜 𝐍𝐨𝐧𝐥𝐢𝐧𝐞𝐚𝐫 𝐎𝐃𝐄

🔀 Linear growth vs. cubic decay in one ordinary differential equation. The solution rises from near zero and locks onto a stable equilibrium.

dy/dx = y - y³

Plotted with our free ODE solver.

#ODE #DifferentialEquations #NonlinearDynamics
November 8, 2026 at 4:42 PM
risujith.bsky.social
Our study reveals that periodic variations in the #flame’s fractal dimension give rise to periodic spiky oscillations in the #HeatReleaseRate

Read the article published in @apsphysics.aps.org : doi.org/10.1103/sgfy...

#Fractals #Synchronization #NonlinearDynamics #ComplexSystems #IITMadras #PhD
October 27, 2026 at 4:50 AM
informaq.bsky.social
Researchers demonstrated that selective postselection in superconducting qubits generates anti-Hermitian nonlinearity, violating quantum mechanics' fundamental linearity principle—a previously unobserved phenomenon in quantum systems.

#QuantumComputing #NonlinearDynamics #News
Quantum State Tomography Reveals Nonlinear Dynamics in Superconducting Qubits
quantumzeitgeist.com
October 27, 2026 at 10:55 AM
cambup-scieng.cambridge.org
📣 Submit your latest #research to Data-Centric Engineering's special collection on Physics-enhanced #MachineLearning and Data-driven #NonlinearDynamics.

Submit your paper and help shape new research directions in the field ➡️ https://cup.org/4Aah3oz

📆 Submission deadline 1 February 2027
Image featuring a "Call for Papers" announcement from Data-Centric Engineering. It invites submissions on "Physics-enhanced Machine Learning and Data-driven Nonlinear Dynamics." The deadline is 1 February 2027, with a "Submit Now" button. The background has a digital, dynamic design with flowing lines.
October 27, 2026 at 4:09 PM
risujith.bsky.social
Gentle reminder, CTCS webinar starts in 1 hour

#ComplexSystems #webinarinvite #Zoomcodes #IITMadras #PIK #Nonlineardynamics #Algebra #DynamicalSystems #Synchronization #Oscillator #Dynamics #CollectiveBehaviour #MathematicalPhysics #CTCS #MathematicalModelling #phd
risujith.bsky.social Prof. R. I. Sujith @risujith.bsky.social · 15d
This month, CTCS (#IITMadras) & @pik-potsdam.bsky.social present a webinar
📢 #DynamicalSystems in arbitrary dimensions: A consistent #generalisation of low-dimensional #models
🎙️Prof. Ram Ramaswamy, IISER Berhampur
📅October 26 | 16:00 CET | 11:00 EDT
🔗 us06web.zoom.us/webinar/regi...

#ComplexSystem
October 26, 2026 at 2:04 PM
risujith.bsky.social
Gentle reminder, webinar will start at 20:30 IST | 16:00 CET | 11:00 EDT

#ComplexSystems #webinarinvite #Zoomcodes #IITMadras #PIK #Nonlineardynamics #Algebra #DynamicalSystems #Synchronization #Oscillator #Dynamics #CollectiveBehaviour #MathematicalPhysics #CTCS #MathematicalModelling #phd
risujith.bsky.social Prof. R. I. Sujith @risujith.bsky.social · 15d
This month, CTCS (#IITMadras) & @pik-potsdam.bsky.social present a webinar
📢 #DynamicalSystems in arbitrary dimensions: A consistent #generalisation of low-dimensional #models
🎙️Prof. Ram Ramaswamy, IISER Berhampur
📅October 26 | 16:00 CET | 11:00 EDT
🔗 us06web.zoom.us/webinar/regi...

#ComplexSystem
October 26, 2026 at 11:03 AM
aimspress.com
Call for Papers | New Approaches in Nonlinear Dynamics
Electronic Research Archive invites submissions to its Special Issue on recent advances in nonlinear dynamics.

Submission deadline: December 31, 2026
Info：
www.aimspress.com/era/article/...

#NonlinearDynamics #DynamicalSystems
October 15, 2026 at 7:50 AM
odesolver.bsky.social
𝐕𝐚𝐧 𝐝𝐞𝐫 𝐏𝐨𝐥 𝐎𝐬𝐜𝐢𝐥𝐥𝐚𝐭𝐨𝐫

💓 y’’ = 3(1 - y²)y’ - y

This nonlinear ordinary differential equation produces self-sustaining oscillations. Used to model heartbeats and biological rhythms.

Plotted with our free ODE solver.

#ODE #DifferentialEquations #NonlinearDynamics
October 15, 2026 at 1:43 AM
spintheory.bsky.social
I'm proud to announce that @mbpesendorfer.bsky.social, @bjenquist.bsky.social, and I have been awarded an Austrian Science Fund @fwf-at.bsky.social project at @bokuvienna.bsky.social

#forests #ecology #ecosystems #nonlineardynamics #physics #vienna #austria
Projectdetail
www.fwf.ac.at
October 13, 2026 at 2:04 PM
risujith.bsky.social
Our work at #IITMadras on long-range #Monsoon predictability using #ComplexSystems and #NonlinearDynamics has been featured by IndiaToday Special thanks to Radifah Kabir for highlighting our work

🔗 www.indiatoday.in/science/stor...

#ClimateScience #ClimatePredictability #ClimateNetwork #Complexity
Ten months before rains fall, an Indian scientist is trying to see the monsoon coming
A team at IIT Madras, led by an aerospace engineer who studies engine failure, says the scientists have developed a model that can forecast the Northeast Monsoon 10 months in advance. IMD is not convi...
www.indiatoday.in
October 7, 2026 at 9:11 AM
risujith.bsky.social
Honoured to deliver my keynote, “Continuous and Explosive Transitions in #Thermoacoustic Systems,” at NODYCON 2026 in Rome.

Grateful to Profs. Bala Balachandran & Walter Lacarbonara. Proud to see Sandra James Thomas & Ira Rai present their work.

#NODYCON2026 #NonlinearDynamics #ComplexSystems
October 1, 2026 at 11:20 AM
risujith.bsky.social
A gentle reminder - the webinar is scheduled for today at 15:00 BST | 19:30 IST | 16:00 CEST | 10:00 EDT

#ComplexSystems #webinarinvite #Zoomcodes #IITMadras #PIK #Nonlineardynamics #UniofExeter #Complexity #MathematicalModelling #Bifurcations #Scaling #AppliedMathematics #Physics #tipping #Chaos
risujith.bsky.social Prof. R. I. Sujith @risujith.bsky.social · Sep 22
This month, CTCS (#IITMadras) & @pik-potsdam.bsky.social
present a webinar
📢: The non-autonomous #dynamics of #tipping points
🎙️: Prof. Peter Ashwin, @universityofexeter.bsky.social
📅: Sept 28 | 10:00 EDT | 16:00 CEST
🔗: us06web.zoom.us/webinar/regi...

#NonlinearDynamics #PhD #Chaos #Mathematics
September 28, 2026 at 4:45 AM
cambup-scieng.cambridge.org
📣 Submit your latest #research to Data-Centric Engineering's special collection on Physics-enhanced #MachineLearning and Data-driven #NonlinearDynamics.

Submit your paper and help shape new research directions in the field ➡️ https://cup.org/4Aah3oz

📆 Submission deadline 1 February 2027
Image featuring a "Call for Papers" announcement from Data-Centric Engineering. It invites submissions on "Physics-enhanced Machine Learning and Data-driven Nonlinear Dynamics." The deadline is 1 February 2027, with a "Submit Now" button. The background has a digital, dynamic design with flowing lines.
September 25, 2026 at 2:26 PM
risujith.bsky.social
This month, CTCS (#IITMadras) & @pik-potsdam.bsky.social
present a webinar
📢: The non-autonomous #dynamics of #tipping points
🎙️: Prof. Peter Ashwin, @universityofexeter.bsky.social
📅: Sept 28 | 10:00 EDT | 16:00 CEST
🔗: us06web.zoom.us/webinar/regi...

#NonlinearDynamics #PhD #Chaos #Mathematics
September 22, 2026 at 1:30 AM
cronologia.bsky.social
Chaos is governed by mathematics, and few engineers advanced its understanding as effectively as Ali H. Nayfeh. He earned a Stanford doctorate and spent decades at Virginia Tech researching and teaching nonlinear dynamics, shaping the field worldwide. #HistoryOfScience #NonlinearDynamics #AliNayfeh
Bifurcation diagram of the logistic map showing the transition to chaos
September 19, 2026 at 2:34 PM
linear-cyclic.bsky.social
Today I’m sharing an updated compact statement that captures the core idea behind my current theoretical work | #Topology #NonlinearDynamics #ChaosTheory #MathematicalPhysics #ComplexSystems #Geometry #ScientificResearch #ConceptualFrameworks #Science #Mathematics #NonlinearDynamics
August 27, 2026 at 7:03 PM
oikosjournal.bsky.social
2️⃣🔄The dual role of detritus as resource and habitat: integrating non-trophic processes to ecosystem dynamics

vist.ly/5f4gp

#EcosystemEngineering #EcosystemStability #EnvironmentalStochasticity #HigherOrderInteractions #NonlinearDynamics #Recycling #TrophicControl
Diagram with labeled ecological processes and a graph showing consumer limitation. Diagram showing control for non-trophic processes and recycling with different scenarios represented by arrows and colored shapes.
August 17, 2026 at 2:29 PM
vonmallinckrodt.bsky.social
What if collapse doesn’t start with rising variance?

CRTI (R̂/Φ) recovery dynamics with covariance geometry …

mechanism-specific, with a clear validity condition (SDS).

Earlier signals for fold transitions. No false positives outside its domain.

doi.org/10.5281/zeno...

#CRTI #ComplexSystems 🖖
Most early warning signals assume collapse shows up as rising variance or autocorrelation. But what if that's only true for one class of mechanisms? The Compression-Response Transition Index (CRTI) introduces a mechanism-specific approach: it combines recovery dynamics (R) with covariance geometry (Ф) and includes an explicit validity condition (Structural-Dynamic Separability, SDS). Result: early warning signals that appear before classical indicators - and correctly disappear when the mechanism assumption is violated. Preprint (open access): https://doi.org/10.5281/ zenodo.19422149 #CRTI #ComplexSystems #EarlyWarningSignals #NonlinearDynamics #SystemsScience🖖 Bernd von Mallinckrodt @vonmallinck... • jetzt CRTI = R /Ф couples recovery dynamics with covariance geometry ... and detects fold-type transitions earlier while correctly failing outside its domain. Preprint (open access): doi.org/10.5281/zeno... #CRTI #ComplexSystems #EarlyWarningSignals #NonlinearDynamics #EWS #SystemsScience Compression-Response Transition Index (CRTI): A Mechanism-Specific Early Warning Signal for Fold-Type Critical Transitions This preprint introduces the Compression-Response Transition Index (CRTI), a bivariate early warning signal designed for detecting fold-type critical transitions in multivariate dynamical systems. The...🖖 Bernd von Mallinckrodt V @vonmallinck... • jetzt What if collapse doesn't begin with rising variance ••• but with a system quietly losing its degrees of freedom? The Compression-Response Transition Index (#CRTI) shows that early warning signals can emerge from structural compression long before classical indicators react.🖖
April 4, 2026 at 7:08 PM
vonmallinckrodt.bsky.social
CRTI = R̂ / Φ couples recovery dynamics with covariance geometry …

and detects fold-type transitions earlier while correctly failing outside its domain.
Preprint (open access): doi.org/10.5281/zeno... 🖖

#CRTI #ComplexSystems #EarlyWarningSignals #NonlinearDynamics #EWS #SystemsScience 🖖
Compression–Response Transition Index (CRTI): A Mechanism-Specific Early Warning Signal for Fold-Type Critical Transitions
This preprint introduces the Compression–Response Transition Index (CRTI), a bivariate early warning signal designed for detecting fold-type critical transitions in multivariate dynamical systems. The...
doi.org
April 4, 2026 at 7:02 PM
vonmallinckrodt.bsky.social
NewModelRelease:

Compression–Resonance Thermodynamic Index (CRTI)
A bounded dynamic phase framework describing structural overcompression, resonance attenuation,and tipping dynamics in adaptive systems.

Zenodo DOI: doi.org/10.5281/zeno...

#NonlinearDynamics #ComplexSystems
Bernd von Mallinckrodt
Compression–Resonance Thermodynamic Index (CRTI): A Bounded Dynamic Phase Model for Structural Over-Compression in Complex Adaptive Systems
This paper introduces the Compression–Resonance Thermodynamic Index (CRTI) as a bounded dynamic phase model for diagnosing structural over-compression in complex adaptive systems (CAS). Moving beyond ...
doi.org
February 24, 2026 at 5:25 PM
vonmallinckrodt.bsky.social
In strategic terms:

• Exploitation remains strong
• Exploration becomes suppressed
• Structural memory accumulates rigidity
• The ambidextrous equilibrium disappears

…

Executive summary (strategy focus):
doi.org/10.5281/zeno...

#Strategy #NonlinearDynamics #Ambidexterity
Collapse through Hyper-Stability: A Slow–Fast Dynamical Executive Framework for Optimization-Driven Structural Rigidity
doi.org
February 22, 2026 at 11:10 AM
vonmallinckrodt.bsky.social
Optimization increases performance.
But beyond a threshold, it can reduce adaptability.

In nonlinear dynamics, this is not metaphorical.

In a slow–fast system, sustained efficiency pressure can eliminate switching capacity through a fold bifurcation.

… 🖖
Bernd von Mallinckrodt A @vonmallinck... • jetzt Optimization does not always increase resilience. In a slow-fast dynamicalframework, I show how sustained efficiency pressure can eliminate adaptive switching capacity via a fold bifurcation. ExecutiveSummary (Strategic Management focus: doi.org/10.5281/zeno.. #Strategy #NonlinearDynamics V Collapse through Hyper-Stability: A Slow-Fast Dynamical Executive Framework for Optimization-Driven Structural Rigidity🖖
February 22, 2026 at 11:09 AM
vonmallinckrodt.bsky.social
Optimization does not always increase resilience.

In a slow–fast dynamicalframework, I show how sustained efficiency pressure can eliminate adaptive switching capacity via a fold bifurcation.

ExecutiveSummary (Strategic Management focus):
doi.org/10.5281/zeno...

#Strategy #NonlinearDynamics 🖖
Collapse through Hyper-Stability: A Slow–Fast Dynamical Executive Framework for Optimization-Driven Structural Rigidity
doi.org
February 22, 2026 at 11:06 AM