Melnikov method for discontinuous planar systems

By Peter Kukučka. 2007

87 citations recorded by the source corpus.

Subfields: Geometry and Topology, Public Health, Environmental and Occupational Health, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/eb8a6daa7c47de96c296e0f2ae958058599b564b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jeroen S. W. Lamb
2. Oleg Makarenkov
3. Michal Feckan
4. Flaviano Battelli
5. Jaume Llibre

In Public Health, Environmental and Occupational Health

1. Jeroen S. W. Lamb
2. Oleg Makarenkov
3. Michal Feckan
4. Flaviano Battelli

In Statistical and Nonlinear Physics

1. Jeroen S. W. Lamb
2. Oleg Makarenkov
3. Michal Feckan
4. Flaviano Battelli
5. Jaume Llibre

Citations in the corpus

• Homoclinic Trajectories in Discontinuous Systems (2008, methodology): “For example 2-dimensional time-perturbed discontinuous differential equations are investigated in [10, 11, 17] using a geometric approach.”
• Bifurcation and chaos near sliding homoclinics (2010, methodology): “Melnikov type analysis is also presented for DDE in [11,14,26,27,34,51].”
• Dynamics and bifurcations of nonsmooth systems: A survey (2012, background): “[218] P. Kukucka, Melnikov method for discontinuous planar systems, Nonlinear Analysis, Th. Meth.”