Dynamics of Attractively and Repulsively Coupled Elementary Chaotic Systems

DOI10.1142/S0218127416300056zbMath1336.34057OpenAlexW2329131749MaRDI QIDQ2806160

Sarah Trinschek, Stefan J. Linz

Publication date: 17 May 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416300056

zbMATH Keywords

synchronizationcoupled nonlinear oscillatorsamplitude deathjerky dynamics

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Synchronization of solutions to ordinary differential equations (34D06)

Uses Software

• LTSpiceIV

Cites Work

• Oscillation quenching mechanisms: amplitude vs. oscillation death
• Chaos via torus breakdown from a four-dimensional autonomous oscillator with two diodes
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Chaos via torus breakdown
• Unnamed Item

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