A family of models with blue sky catastrophes of different classes
DOI10.1134/S1560354717050069zbMath1387.34067OpenAlexW2756635970WikidataQ110854936 ScholiaQ110854936MaRDI QIDQ1695072
Pavel V. Kuptsov, Nataliya V. Stankevich, Sergey P. Kuznetsov
Publication date: 6 February 2018
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354717050069
dynamical systemSmale-Williams solenoidblue sky catastrophehyperbolic chaosquasi-periodic oscillations
Bifurcation theory for ordinary differential equations (34C23) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Low-dimensional dynamical systems (37E99) Dynamical aspects of attractors and their bifurcations (37G35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blue sky-like catastrophe for reversible nonlinear implicit ODEs
- Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations
- On the ``blue sky catastrophe termination in the restricted four-body problem
- Blue sky catastrophe as applied to modeling of cardiac rhythms
- Example of blue sky catastrophe accompanied by a birth of Smale-Williams attractor
- Blue sky catastrophe in relaxation systems with one fast and two slow variables
- Cascade of bifurcations in Lorenz-like systems: birth of a strange attractor, blue sky catastrophe bifurcation, and nine homoclinic bifurcations
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- Blue sky catastrophes
- Simple bifurcations leading to hyperbolic attractors
- Complex dynamics in double-diffusive convection
- Dynamical systems IX. Transl. from the Russian by G. G. Gould
- Theory and computation of covariant Lyapunov vectors
- Complete dynamical analysis of a neuron model
- Autonomous coupled oscillators with hyperbolic strange attractors
- Periodic orbits in the restricted four-body problem with two equal masses
- A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
- A “saddle-node” bifurcation scenario for birth or destruction of a Smale–Williams solenoid
- TWO-PARAMETER STUDY OF TRANSITION TO CHAOS IN CHUA'S CIRCUIT: RENORMALIZATION GROUP, UNIVERSALITY AND SCALING
- A fuzzy blue sky catastrophe
This page was built for publication: A family of models with blue sky catastrophes of different classes