Reputation
1,294
Next privilege 2,000 Rep.
Edit questions and answers
Badges
3 15
Newest
 Yearling
Impact
~23k people reached

1d
comment References for methods for convergence analysis of discrete time dynamical systems with non lipschitz nonlinearity
Can you point out which technique for Lipschitz functions is failing for your case ?
Aug
30
answered Definition of topological entropy
Aug
25
revised Does Homoclinic tangle violate deterministic law?
added 467 characters in body
Aug
25
revised Does Homoclinic tangle violate deterministic law?
added 284 characters in body
Aug
25
answered Does Homoclinic tangle violate deterministic law?
Aug
23
answered Can someone explain the meaning of asymptotically stability in the following definition?
Aug
20
comment Computing $\bigtriangledown r^m$ knowing the vector $\boldsymbol r$
just use chain rule
Aug
18
reviewed No Action Needed Existence of solution to second order linear PDE
Aug
11
comment Any use of advanced Abstract Algebra in Differential Geometry?
Lie groups is an important part of differential geometry.
Aug
9
comment Relation between ergodic terms and probabilistic terms
stochastic process is not a deterministic dynamical system. See this:scholarpedia.org/article/Stochastic_dynamical_systems
Aug
9
comment Use Gronwall's lemma and method of successive approximations to show that a unique continuous solution exists on
Surely you mean to write the evolution of $x$ rather than $\mu$. $N_b(\mu_0)$ is the ball around parameter $\mu_0$ in $R^m$ in the same way $[-a,a]$ is the ball around $t=0$ in $R$.
Aug
7
comment Relation between ergodic terms and probabilistic terms
Just use your favorite dynamical system in Ergodic theory and normalize the invariant measure to 1. Congratulations, now you are looking at a probabilistic formulation.
Aug
6
comment Asymptotically stable vs Essentially Asymptotically Stable
If it attracts ALL, then it is asymptotically stable. If attracts all but a small measure, it is essentially asymptotically stable.
Aug
6
answered Asymptotically stable vs Essentially Asymptotically Stable
Aug
5
comment Question for experts in dynamical systems or symplectic geometry
I recall reading something on these lines here:amath.colorado.edu/faculty/jdm/papers/SymplecticMapsReview.pdf. Keywords: aubry-mather theory
Aug
2
comment Convexity under diffeomorphisms
Convexity preservation is very restrictive property, and certainly not preserved by arbitrary diffeomorphisms. A nice list of maps which preserve convexity can be found in Boyd's convex optimization book.
Jul
9
comment Definition of Hamiltonian system through integral invariant
Have you looked into Arnold's book ?
Jul
3
comment Does an exponential bound on a Lyapunov candidate imply asymptotic stability?
en.wikipedia.org/wiki/Krasovskii%E2%80%93LaSalle_principle
Jul
3
answered stability of equilibria for $n$-dimensional nonlinear systems of differential equations: examples
Jun
13
answered Why do mathematicians use $\Delta$ instead of $\nabla^2$?