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Conditions for which all orbits are periodic through varying constants.

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory
227
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Morse and Conley theory: Proof of finite rank for certain cohomology groups

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#algebraic-topology #differential-topology #dynamical-systems #homology-cohomology #morse-theory
253
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Lyapunov exponents without Jacobian?

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#asymptotics #dynamical-systems #lyapunov-functions
819
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Routh-Hurwitz criterion for systems with delay

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#dynamical-systems #control-theory
71
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How to describe a system with stability in terms of some variables

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#dynamical-systems #stability-in-odes #stability-theory
64
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Fold and Homoclinic bifurcation

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#ordinary-differential-equations #dynamical-systems #bifurcation
201
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Bernoulli measure is aperiodic

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#probability-distributions #dynamical-systems #ergodic-theory
192
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How can we tell that this discrete linear dynamical system converges?

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #dynamical-systems
123
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On definition of $\omega$ and $\alpha$ limit sets in the discrete case.

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#dynamical-systems
48
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Dynamical systems with large number of attractors and their dependence on the parameters?

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#soft-question #dynamical-systems #intuition #visualization #motivation
1.3k
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Numerical method preserves energy

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#ordinary-differential-equations #numerical-methods #dynamical-systems
227
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Center manifold of nonhyperbolic fixed point

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory
33
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How fast do controlled parameters follow the controlling ones?

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#abstract-algebra #dynamical-systems #control-theory
140
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Let $f: X \rightarrow X$ be a homeomorphism of a compact metric space. If the orbit of $x$ is compact, then $x$ is periodic

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#real-analysis #dynamical-systems
43
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The distance between the orbit and the $\omega$-limitset

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#ordinary-differential-equations #dynamical-systems

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