Emergence of localized patterns in globally coupled networks of relaxation oscillators with heterogeneous connectivity

Keyphrases

• Relaxation Oscillator 100%
• Small Amplitude Oscillations 100%
• Localized Patterns 100%
• Heterogeneous Connectivity 100%
• Globally Coupled Network 100%
• Feedback Effect 66%
• Global Feedback 66%
• Large Amplitude Oscillation 66%
• Oscillation 33%
• Abrupt Transition 33%
• Dynamic Properties 33%
• Mixed-mode Oscillations 33%
• Patterns in Networks 33%
• Symmetry Breaking 33%
• Positive Feedback 33%
• Canard Phenomenon 33%
• Negative Feedback 33%
• Belousov-Zhabotinsky Reaction 33%
• Weighted Sums 33%
• Rate of Change 33%
• Relaxation Oscillations 33%
• Intrinsic Dynamics 33%
• Slow Variables 33%
• Clustering Pattern 33%
• Fast Variables 33%
• Far-from-equilibrium Systems 33%
• Piecewise Linear Relaxation 33%
• Oscillation Regime 33%

Mathematics

• Timescale 100%
• Symmetry Breaking 50%
• Intrinsic Property 50%
• Change Rate 50%
• Weighted Sum 50%
• Piecewise Linear 50%
• Equilibrium System 50%