# Nonlinear Dynamics and Pattern Formation

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/nonlinear-dynamics-and-pattern-formation/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers explores the dynamics of synchronization in complex networks, focusing on phenomena such as chimera states, reaction-diffusion models, coupled oscillators, and pattern formation. The Kuramoto model and phase oscillators are central to understanding the behavior of synchronization in these systems. |
| Domain | Physical Sciences |
| Field | Computer Science |
| OpenAlex ID | t11187 |
| Works | 32 |

## Topic papers all

Showing 15 of 32.

- [Detrended Fluctuation Analysis: A Scale-Free View on Neuronal Oscillations](https://scholariq.org/papers/detrended-fluctuation-analysis-a-scale-free-view-on-neuronal-oscillations/)
- [Estimating the time-course of coherence between single-trial brain signals: an introduction to wavelet coherence](https://scholariq.org/papers/estimating-the-time-course-of-coherence-between-single-trial-brain-signals-an/)
- [Long Memory Processes (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi>/</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">f</mml:mi></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>Type) in Human Coordination](https://scholariq.org/papers/long-memory-processes-mml-math-xmlns-mml-http-www-w3-org-1998-math-mathml/)
- [Finite-time chaos synchronization of unified chaotic system with uncertain parameters](https://scholariq.org/papers/finite-time-chaos-synchronization-of-unified-chaotic-system-with-uncertain/)
- [Suppressing chaos in neural networks by noise](https://scholariq.org/papers/suppressing-chaos-in-neural-networks-by-noise/)
- [<i>N</i>th-Order Operator Splitting Schemes and Nonreversible Systems](https://scholariq.org/papers/i-n-i-th-order-operator-splitting-schemes-and-nonreversible-systems/)
- [Synchronization for chaotic systems and chaos-based secure communications via both reduced-order and step-by-step sliding mode observers](https://scholariq.org/papers/synchronization-for-chaotic-systems-and-chaos-based-secure-communications-via/)
- [Finite-time synchronization of uncertain unified chaotic systems based on CLF](https://scholariq.org/papers/finite-time-synchronization-of-uncertain-unified-chaotic-systems-based-on-clf/)
- [Observer-Based Synchronization of Chaotic Systems Satisfying Incremental Quadratic Constraints and Its Application in Secure Communication](https://scholariq.org/papers/observer-based-synchronization-of-chaotic-systems-satisfying-incremental/)
- [Self-similarity and a phase-transition-like behavior of a random growing structure governed by a nonequilibrium parameter](https://scholariq.org/papers/self-similarity-and-a-phase-transition-like-behavior-of-a-random-growing/)
- [Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme](https://scholariq.org/papers/strict-dissipativity-synchronization-for-delayed-static-neural-networks-an-event/)
- [Control loop performance assessment using detrended fluctuation analysis (DFA)](https://scholariq.org/papers/control-loop-performance-assessment-using-detrended-fluctuation-analysis-dfa/)
- [Synchronization of unified chaotic systems with uncertain parameters based on the CLF](https://scholariq.org/papers/synchronization-of-unified-chaotic-systems-with-uncertain-parameters-based-on/)
- [Finite-time synchronization of sampled-data T–S fuzzy complex dynamical networks subject to average dwell-time approach](https://scholariq.org/papers/finite-time-synchronization-of-sampled-data-t-s-fuzzy-complex-dynamical-networks/)
- [Three Time-Scales In An Extended Bonhoeffer–Van Der Pol Oscillator](https://scholariq.org/papers/three-time-scales-in-an-extended-bonhoeffer-van-der-pol-oscillator/)

## Topic primary papers

- [Long Memory Processes (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi>/</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">f</mml:mi></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>Type) in Human Coordination](https://scholariq.org/papers/long-memory-processes-mml-math-xmlns-mml-http-www-w3-org-1998-math-mathml/)
- [Taming chaos in damped driven systems by incommensurate excitations](https://scholariq.org/papers/taming-chaos-in-damped-driven-systems-by-incommensurate-excitations/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.