All Questions
Tagged with nonlinear-dynamics reference-request
8
questions
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35
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How to accurately average a function with a nonlinear response?
I am a physics PhD student working in optics and I have a bit of a weird problem that I am trying to sort out and I'm hoping you math folks can help me with.
Without boring you with the experimental ...
0
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51
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book reference: beginner book on nonlinear pdes with phase transitions in reaction-diffusion systems
I am looking for suggestions on a good introductory book to nonlinear PDEs and the ideas of phase transitions or pattern formation.
My background in PDEs is mostly self-taught. So I worked through ...
- 2,531
3
votes
1
answer
391
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Khalil-like book on discrete-time nonlinear systems
Is there an equivalent of the Khalil's Nonlinear Systems for discrete-time systems?
I am particularly interested in matters of advanced stability analysis, perturbed systems, singular perturbation ...
- 313
1
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Book for self-teaching invariant measures
I am trying to investigate the expectation value of a quantum Hamiltonian where one of the parameters of the quantum evolution is a 1-D chaotic map. I don't have any formal training on dynamical ...
- 559
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196
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Proving a system is not chaotic
Suppose I have a discrete dynamical system defined as a map $f: X \to X$ where $X = [0,1]^N$ i.e. the $N-$dimensional unit hypercube.
The map $f$ is discontinuous (specifically it is piecewise affine,...
- 319
2
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2
answers
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Nonlinear dynamics book for self study
I have to learn basic nonlinear dynamics on my own for a project, and I'm trying to find a text that could serve the purpose. I'm in search of something not that cryptical, maybe easy to read, but at ...
- 2,109
1
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1
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What are actually Spatiotemporal patterns? [closed]
What actually we do mean by spatiotemporal patterns?.For example Chimera states?.If simply in a network of coupled oscillators there re a set of synchronized and desynchronized nodes then will it be a ...
- 5,032
1
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Extension of Nonlinear Dynamics beyond ODE
Is there an extension of the ideas of Nonlinear Dynamics beyond Ordinary Differential Equations (ODEs), specifically a Partial Differential Equations (PDEs) "version" or more generalized, yet similar, ...
- 9,398