Preface; Acknowledgements; Contents; Contributors; Introduction; List of Talks from NDES2015; Part I Classical and Quantum Dynamics; Nonlinear Systems Characterization Using Phase Space Density; 1 Introduction; 2 Density in Phase Space; 2.1 Determining Partitions; 2.2 Information Criteria; 3 Identifying Sprott Attractors; 3.1 Comparing Densities; 3.2 Distinguishing Attractors; 3.3 Noise Considerations; 4 Conclusions; References; Complex Bifurcation of Arnol'd Tongues Generated in Three-Coupled Delayed Logistic Maps; 1 Summary; 2 Conclusion; References

Phase Response Properties of Rulkov Model Neurons1 Introduction; 2 Methods; 2.1 Neuron Models; 2.2 Phase Response Curves; 3 Results and Discussion; 3.1 Original Rulkov Map: Type-2 PRC; 3.2 The Hyperpolarizing Rulkov Model: Type-1 PRC; 3.3 Periodic Forcing of Rulkov Maps; 4 Conclusions; References; Treating Many-Body Quantum Systems by Means of Classical Mechanics; 1 Introduction; 2 Bose
Hubbard Model; 3 Classical Bose
Hubbard Model; 4 Bose
Hubbard Dimer; 5 Bose
Hubbard Trimer; 6 Many-Site Bose
Hubbard Model; 7 Statistical Analysis of the Energy Spectrum; 8 Conclusion; References

Mean-Field Transport of a Bose-Einstein Condensate1 Introduction; 2 Our Transport Setup; 3 Numerical Results; 3.1 Case (a): Directed Free Expansion; 3.2 Case (b): Expansion into a Wannier-Stark Lattice; 4 Conclusions and Perspectives; References; Part II Chaotic Oscillations; Continuous and Differentiable Approximation of a TaO Memristor Model for Robust Numerical Simulations; 1 Introduction; 2 Model; 3 Continuous and Differentiable DAE Set; 4 Conclusions; References; Ultrawideband Microwave 3
7GHz Chaotic Oscillator Implemented as SiGe Integrated Circuit; 1 Introduction; 2 Oscillator Model

3 Simulation4 Experiment; 5 Conclusions; References; Cryptanalysis of a Random Number Generator Based on a Chaotic Oscillator; 1 Introduction; 2 Target System; 3 Attack System; 4 Numerical Results; 5 Conclusions; References; Part III Networks; Experiments on Clustering and Synchronous Patterns in a Configurable Network of Chaotic Oscillators; 1 Introduction; 2 The Experimental Setup; 2.1 Experimental Results; References; Complex Structures and Behavior from Elementary Adaptive Network Automata; 1 Introduction; 2 A Ring that Rules Them All; 3 Emerging Topologies

4 Classes of Emergent Behavior5 Exemplary Discussion of a Class with Critical Behavior; 5.1 Rule 209; 5.2 Node Dynamics of Rule 209; 5.3 Two Critical Points in Dependence of pact; 5.4 Network Topology at the Critical Point pcrit+act; 5.5 Critical Behavior at pcrit+act as the Interplay Between Topology and Node Dynamics; 6 Conclusion; References; Hebbian Learning Clustering with Rulkov Neurons; 1 Introduction; 2 The Rulkov Neuron Hebbian Learning Clustering Algorithm (RHLC); 3 Stability and Computational Complexity of the RHLC; 3.1 Stability of the RHLC Results