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Preface; Contents; On Degenerate Cycles in Planar Filippov Systems; 1 Preliminary Concepts; 2 Statement of the Problem and Results; 2.1 Bifurcations of a Saddle-Regular Point; 2.2 Structure of the First Return Map ; References; 2 Sliding Dynamics on Codimension-2 Discontinuity Surfaces; 1 Introduction; 2 Isolated Codimension
2 Discontinuity Manifolds; 2.1 Filippov Systems; 2.2 The Codimension-2 Case; 3 Crossing and Sliding Regions; 4 Sliding Dynamics; 5 Example: Mass Points on the Plane with Coulomb Friction; References; Asynchronous Networks
1 Asynchronous Networks: Motivation and Characteristics1.1 Reductionism and Modularization of Dynamics; 2 Abstraction; 2.1 Connection Structures and Admissible Vector Fields; 2.2 The Event Map and Asynchronous Networks; 2.3 Example: Two Passing Loops on Single Track Lines; References; Regularization by External Variables; 1 Shadowing in One Variable; 2 Shadowing in n Variables; 3 Examples; 4 A United Form; References; 5 Characterizing Tipping in a Stochastic Reduced Stommel-Type Model in Higher-Dimensions; 1 Introduction; 2 The Stommel 1961 Model; 3 Workshop Discussion and Preliminary Steps
2 Discontinuity Manifolds; 2.1 Filippov Systems; 2.2 The Codimension-2 Case; 3 Crossing and Sliding Regions; 4 Sliding Dynamics; 5 Example: Mass Points on the Plane with Coulomb Friction; References; Asynchronous Networks
1 Asynchronous Networks: Motivation and Characteristics1.1 Reductionism and Modularization of Dynamics; 2 Abstraction; 2.1 Connection Structures and Admissible Vector Fields; 2.2 The Event Map and Asynchronous Networks; 2.3 Example: Two Passing Loops on Single Track Lines; References; Regularization by External Variables; 1 Shadowing in One Variable; 2 Shadowing in n Variables; 3 Examples; 4 A United Form; References; 5 Characterizing Tipping in a Stochastic Reduced Stommel-Type Model in Higher-Dimensions; 1 Introduction; 2 The Stommel 1961 Model; 3 Workshop Discussion and Preliminary Steps