Skip to main content

Transients of Active Tracking: A Stroll in Attractor Spaces

  • Conference paper
Book cover Advances in Artificial Life (ECAL 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4648))

Included in the following conference series:

  • 1564 Accesses

Abstract

We present the dynamical analysis of embodied RNNs evolved to control a cybernetic device that solves a tracking problem. From the Neurodynamics perspective, we analyze the networks with focus on a characterization of the attractors and attractor sequences, guiding the transients. Projections of these attractors to motor space help visualizing the shape of the attractors, thus pointing to the underpinnings of behavior. Among the different attractors found are fixed points, periodic and quasi-periodic attractors of different periods, as well as chaos. Further analysis of the attractors relates changes of shape, size and period to motor control. Interesting characteristic behaviors arise, such as chaotic transitory regimes and implicit mapping of environmental assymmetricities in the network’s response, (as for example attractor hops that implicitly code for gravity). We discuss autonomy, capacity and some issues relating to a possible theory of transients.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Beer, R.: A dynamical systems perspective on agent-environment interaction. Artificial Intelligence 72, 173–215 (1995)

    Article  Google Scholar 

  2. Negrello, M., Pasemann, F.: Adaptive Neurodynamics. In: Yang, A., Shan, Y. (eds.) Applications of Complex Adaptive Systems, IDEA Group, Hershey (to appear, 2008)

    Google Scholar 

  3. Pasemann, F., Steinmetz, U., Huelse, M., Lara, B.: Robot control and the evolution of modular neurodynamics. Theory in Biosciences 120, 311–326 (2001)

    Google Scholar 

  4. Tsuda, I.: Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems. Behavioral and Brain Sciences 24, 793–847 (2001)

    Article  Google Scholar 

  5. Pasemann, F.: Complex dynamics and the structure of small neural networks. Network: Computation in neural systems 13(2), 195–216 (2002), http://www.iop.org/EJ/S/0/27972/uoqgs3Z8ALGleMygUyOqrg/toc/0954-898X/13/2

    MATH  Google Scholar 

  6. Molter, C., Salihoglu, U., Bersini, H.: The road to chaos by time-asymmetric hebbian learning in recurrent neural networks. Neural Computation 19, 80–110 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  7. Huelse, M., Wischmann, S., Pasemann, F.: Structure and function of evolved neuro-controllers for autonomous robots. Connection Science 16(4), 249–266 (2004)

    Article  Google Scholar 

  8. Mataric, M.: Sensory-Motor Primitives as Basis for Imitation: Linking Perception to Action and Biology to Robotics. In: Imitation in Animals and Artifacts, pp. 392–422. MIT Press, Cambridge (2002)

    Google Scholar 

  9. Tani, J., Ito, M.: Self-organization of behavioral primitives as multiple attractor dynamics: A robot experiment. IEEE Transactions on Systems, Man and Cybernetics, Part A 33(4) (2003)

    Google Scholar 

  10. Varela, F.: Principles of Biological Autonomy. North Holland, Amsterdam (1979)

    Google Scholar 

  11. Varela, F., Rorty, E., Thompson, E.: The Embodied Mind. MIT Press, Cambridge (1991)

    Google Scholar 

  12. Harvey, I., Di Paolo, E., Wood, R., Quinn, M., Tuci, E.: Evolutionary robotics: A new scientific tool for studying cognition. Artificial Life 11(1-2), 79–98 (2005), http://www.mitpressjournals.org/doi/abs/10.1162/1064546053278991

    Article  Google Scholar 

  13. Pfeifer, R., Iida, F., Bongard, J.: New robotics: Design principles for intelligent systems. Artificial Life 11(1-2), 99–120 (2005), http://www.mitpressjournals.org/doi/abs/10.1162/1064546053279017

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Fernando Almeida e Costa Luis Mateus Rocha Ernesto Costa Inman Harvey António Coutinho

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Negrello, M., Pasemann, F. (2007). Transients of Active Tracking: A Stroll in Attractor Spaces. In: Almeida e Costa, F., Rocha, L.M., Costa, E., Harvey, I., Coutinho, A. (eds) Advances in Artificial Life. ECAL 2007. Lecture Notes in Computer Science(), vol 4648. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74913-4_101

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74913-4_101

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74912-7

  • Online ISBN: 978-3-540-74913-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics