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This is a repository copy of Clifford Algebras, Nonlinear Dynamical Systems and Isochronous Tori. White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/82939/ Monograph: Banks, S.P. and McCaffrey, D. (1997) Clifford Algebras, Nonlinear Dynamical Systems and Isochronous Tori. Research Report. ACSE Research Report 695 . Department of Automatic Control and Systems Engineering [email protected] https://eprints.whiterose.ac.uk/ Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version - refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher’s website. Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request.

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Page 1: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

This is a repository copy of Clifford Algebras, Nonlinear Dynamical Systems and Isochronous Tori.

White Rose Research Online URL for this paper:http://eprints.whiterose.ac.uk/82939/

Monograph:Banks, S.P. and McCaffrey, D. (1997) Clifford Algebras, Nonlinear Dynamical Systems andIsochronous Tori. Research Report. ACSE Research Report 695 . Department of Automatic Control and Systems Engineering

[email protected]://eprints.whiterose.ac.uk/

Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version - refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher’s website.

Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request.

mailto:[email protected]

https://eprints.whiterose.ac.uk/

Page 2: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 3: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 4: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 5: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 6: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 7: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 8: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 9: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 10: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 11: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 12: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 13: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 14: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 15: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 16: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 17: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 18: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 19: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 20: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 21: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

Page 22: Clifford Algebras, Nonlinear Dynamical Systems and ...eprints.whiterose.ac.uk/82939/1/acse research report 695.pdf · I. Introduction Clifford algebras have been used for many years

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