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Description: Localizing the Chaotic Strange Attractors of Multiparameter Nonlinear Dynamical Systems using Competitive Modes A Literary Analysis Table of Contents Introduction Strange Attractors and Chaos Localization through Competitive Modes Lorenz

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slide1. Localizing the Chaotic Strange Attractors of Multiparameter Nonlinear Dynamical Systems using Competitive Modes A Literary Analysis<br>
slide2. Table of Contents Introduction
Strange Attractors and Chaos
Localization through Competitive Modes
Lorenz Attractor Example
Conclusions<br>
slide3. Dynamical Systems Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide4. Strange Attractors Definition: The strange attractor A of a n-dimensional system of differential equations is an attractor that is fractal in nature. Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide5. Chaos Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide6. Chaos: Lorenz Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide7. Localization
Through
Competitive Modes<br>
slide8. Oscillators Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide9. Oscillators Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide10. Oscillators to Competitive Modes Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide11. Oscillators to Competitive Modes Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide12. Competitive Mode Conjecture Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide13. Competitive Modes: Lorenz Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide14. Competitive Modes: Lorenz Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide15. Competitive Modes: Lorenz Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide16. Conclusions and Research Questions Localization techniques do already exist, but are not necessarily simple.

Is the Competitive Mode Conjecture true?
Which systems fulfill the competitive mode conjecture?
Does it also apply to discrete systems? Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide17. Questions? Introduction

Strange Attractors

Competitive Modes

Conclusions<br>
slide18. Localization through Trajectories Introduction

Strange Attractors

Trajectories

Nambu Mechanics

Competitive Modes

Conclusions<br>
slide19. Localization through Trajectories Self-Excited Attractors
Hidden Attractors Introduction

Strange Attractors

Trajectories

Nambu Mechanics

Competitive Modes

Conclusions<br>
slide20. Localization of Chua Hidden Attractor Introduction

Strange Attractors

Trajectories

Nambu Mechanics

Competitive Modes

Conclusions<br>
slide21. Localization of Chua Hidden Attractor Introduction

Strange Attractors

Trajectories

Nambu Mechanics

Competitive Modes

Conclusions<br>
slide22. Localization of Chua Hidden Attractor Introduction

Strange Attractors

Trajectories

Nambu Mechanics

Competitive Modes

Conclusions<br>
slide23. Nambu Systems Introduction

Strange Attractors

Trajectories

Nambu Mechanics

Competitive Modes

Conclusions<br>
slide24. Nambu Systems Introduction

Strange Attractors

Trajectories

Nambu Mechanics

Competitive Modes

Conclusions<br>
slide25. Nambu Hamiltonian Localization Introduction

Strange Attractors

Trajectories

Nambu Mechanics

Competitive Modes

Conclusions<br>