On novel conditions of chaotic attractors existence in autonomous polynomial dynamical systems
From MaRDI portal
Publication:1655122
DOI10.1007/S11071-017-4023-YzbMath1392.37033OpenAlexW2777267873MaRDI QIDQ1655122
Publication date: 9 August 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-4023-y
Lyapunov exponentschaotic attractorsaddle pointalgebraic invariantpolynomial dynamical systemexponential-algebraic discrete map
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Related Items (2)
Chaotic Dynamics in Four-Dimensional Piecewise Affine Systems with Bifocal Heteroclinic Cycles ⋮ Universal approach to the problem of emergence of chaos in autonomous dynamical systems
Cites Work
- Unnamed Item
- Role of logistic and Ricker's maps in appearance of chaos in autonomous quadratic dynamical systems
- A novel search method of chaotic autonomous quadratic dynamical systems without equilibrium points
- Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system
- Research of chaotic dynamics of 3D autonomous quadratic systems by their reduction to special 2D quadratic systems
- Chaos in essentially singular 3D dynamical systems with two quadratic nonlinearities
- Invariant Approach to Existence Problem of Chaos in 3D Autonomous Quadratic Dynamical Systems
- Looking More Closely at the Rabinovich–Fabrikant System
- CHAOTIC AND NONCHAOTIC BEHAVIOR IN THREE-DIMENSIONAL QUADRATIC SYSTEMS: 5-1 DISSIPATIVE CASES
- A GALLERY OF LORENZ-LIKE AND CHEN-LIKE ATTRACTORS
- Reduction Method for Search of Chaotic Attractors in Generic Autonomous Quadratic Dynamical Systems
- CLASSIFICATION OF CHAOS IN 3-D AUTONOMOUS QUADRATIC SYSTEMS-I: BASIC FRAMEWORK AND METHODS
- ON A DYNAMICAL SYSTEM WITH MULTIPLE CHAOTIC ATTRACTORS
- A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
- DYNAMICAL ANALYSIS OF A CHAOTIC SYSTEM WITH TWO DOUBLE-SCROLL CHAOTIC ATTRACTORS
- Exponential-Algebraic Maps and Chaos in 3D Autonomous Quadratic Systems
- A NOVEL HYPERCHAOTIC SYSTEM AND ITS COMPLEX DYNAMICS
- General Method of Construction of Implicit Discrete Maps Generating Chaos in 3D Quadratic Systems of Differential Equations
This page was built for publication: On novel conditions of chaotic attractors existence in autonomous polynomial dynamical systems
