ŠIL'NIKOV HOMOCLINIC ORBITS IN TWO CLASSES OF 3D AUTONOMOUS NONLINEAR SYSTEMS
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Publication:2797228
DOI10.1142/S0217979211101120zbMath1333.37013MaRDI QIDQ2797228
Publication date: 5 April 2016
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Nonlinear ordinary differential equations and systems (34A34) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Related Items (6)
The related extension and application of the Ši'lnikov theorem ⋮ Shilnikov chaos in the Lucas model of endogenous growth ⋮ Controlling chaos in New Keynesian macroeconomics ⋮ The existence of homoclinic orbits in the Lorenz system via the undetermined coefficient method ⋮ Chaotic systems with any number and various types of equilibria ⋮ Shilnikov chaos, low interest rates, and New Keynesian macroeconomics
Cites Work
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- Constructing a new chaotic system based on the Šilnikov criterion
- Shil'nikov homoclinic orbits in a new chaotic system
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- A Chaos Lemma
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- CLASSIFICATION OF CHAOS IN 3-D AUTONOMOUS QUADRATIC SYSTEMS-I: BASIC FRAMEWORK AND METHODS
- The Lorenz attractor exists
- YET ANOTHER CHAOTIC ATTRACTOR
- Deterministic Nonperiodic Flow
- CHEN'S ATTRACTOR EXISTS
- A NEW CHAOTIC SYSTEM AND ITS GENERATION
- A NEW CHAOTIC ATTRACTOR COINED
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- Shil'nikov's theorem-a tutorial
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
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