Homoclinic orbits in a piecewise system and their relation with invariant sets

Mathematics

• Heteroclinic Orbit 100%
• Unstable Manifold 97%
• Homoclinic Orbit 89%
• Invariant Set 80%
• Attractor 70%
• Piecewise Linear Systems 53%
• Stable and Unstable Manifolds 50%
• Omega Limit Set 50%
• Stable Manifold 47%
• Limit Set 45%
• Bounded Set 40%
• Chaos 36%
• Evidence 32%
• Initial conditions 32%
• Trajectory 31%
• Orbit 30%
• Dynamical system 29%
• Numerical Methods 29%
• Fixed point 27%
• Demonstrate 23%

Engineering & Materials Science

• Orbits 69%
• Chaos theory 26%
• Linear systems 23%
• Numerical methods 23%
• Dynamical systems 21%
• Trajectories 18%
• Set theory 16%

Physics & Astronomy

• orbits 57%
• linear systems 22%
• dynamical systems 19%
• chaos 18%
• trajectories 15%